15 results about "Quadratic formula" patented technology

The invention belongs to the technical field of bridge seismic resistance, and particularly relates to a cable-stayed bridge power optimization method based on an RBF enhanced quadratic fitting equation-PSO, and the method comprises the steps: building a finite element model of a cable-stayed bridge, and generating a sample based on a Box-Behnken design method; factor levels and test index values are determined, the finite element model is modified according to the factor levels of different test samples, and seismic oscillation is loaded to obtain response values; and constructing an RBF neural network, randomly generating a supplementary sample, predicting a response value of supplementary data by using the trained RBF network, and re-fitting a quadratic equation by using a weighted least square method. After a target function is constructed, a particle swarm algorithm is adopted to carry out iterative optimization to obtain a Pareto optimal solution set, a finite element model is modified through factor combination of the optimal solution, and then seismic oscillation is applied to be compared with seismic oscillation response of an original finite element model. The method can effectively solve the problems that the number of test groups needed in bridge dynamic optimization is too large, data of a quadratic equation fitting model is small, and the weight needed by multi-objective optimization is large.

The invention relates to a multi-parameter fitting industrial equipment temperature threshold prediction method, belongs to the technical field of data analysis and prediction, and aims to solve the problems of weak nonlinear fitting capability, high error and lack of threshold standard accurate time positioning of temperature prediction in the prior art. The method comprises the following steps: firstly, respectively performing polynomial fitting on three parameter sequences by utilizing historical data, and establishing a function model about time; future time points are simulated through iteration, and whether time points meeting conditions exist or not is judged by combining a quadratic equation root judgment method and extreme value analysis, so that the temperature reaches a set target. If yes, the total number of days from the current starting time to the target temperature appearing time is calculated, and a result is output; and otherwise, giving out prompt information that the standard is not reached within the preset time period. According to the method, through multi-parameter dynamic fitting, the prediction error is smaller than or equal to 5%, complex temperature scenes are covered according to conditions, 100-year + prediction is supported, iteration verification is stable, and the method is remarkably superior to a traditional single / multi-parameter linear model.

The invention belongs to the field of electric power, and discloses an evaluation method and device for transient voltage stability of a network construction type converter, and the method comprises the steps: determining a control equation of the network construction type converter in a reactive power control link, and converting the control equation into a differential equation; determining a quadratic unary equation discriminant when the system voltage is in a critical state according to the solvability characteristics of molecules in the differential equation, and solving the quadratic unary equation discriminant to obtain a critical condition of voltage stability; and according to the critical condition, determining an evaluation index of the voltage stability of the network-building type converter, and according to the evaluation index, evaluating the transient voltage stability of the network-building type converter, thereby stably and efficiently realizing transient voltage stability evaluation for the reactive power absorption scene of the network-building type converter.

The invention discloses a feature self-adaptive composite material structure impact energy intelligent assessment method, and belongs to the technical field of aerospace structure health monitoring. The method comprises the following steps: acquiring a sensor response signal through an impact experiment, and obtaining an upper limit cut-off frequency by using a frequency spectrum after fast Fourier transform; performing discrete sampling in the frequency range to generate a candidate cut-off frequency set, and calculating an impact quantitative characteristic index corresponding to each frequency; establishing a quadratic mapping model of characteristic indexes and impact energy for each candidate frequency by adopting an iterative reweighted least square method with an original point passing constraint and a monotonic non-decreasing constraint, and adaptively selecting an optimal cut-off frequency by taking goodness-of-fit maximization as a criterion; a final energy mapping model is obtained through re-fitting based on the optimal frequency, and accurate evaluation of unknown impact energy is achieved by solving a quadratic equation. According to the invention, unsupervised optimization of spectrum characteristic parameters and high-precision and high-robustness evaluation of impact energy are realized.

The present application relates to a kind of corrosion reinforced concrete column eccentric compression bearing capacity analysis method, comprising the following steps: measuring and calculating the basic parameters of eccentric compression reinforced concrete component before and after corrosion;Based on the basic parameters, the limit corrosion rate of eccentric compression concrete component is calculated, and the eccentric compression failure mode is determined;Analysis of the eccentric compression bearing capacity of the eccentric compression reinforced concrete component corresponding to different eccentric compression failure modes.Compared with the prior art, the present application is based on the stress state of the reinforcement on the side far from the axial force (i.e. far side) and the side close to the axial force (i.e. near side) in the eccentric compression column when the normal section fails, realizes the normal section bearing capacity calculation of the eccentric compression reinforced concrete component when the reinforcement on the far side and the near side is arbitrarily corroded, the highest order equation for solving is a quadratic equation, has the advantages of clear concept and simple calculation, can quickly and accurately analyze and evaluate the normal section bearing capacity of the eccentric compression reinforced concrete component.

The invention provides a method, a device, equipment and a medium for calculating a reservoir rock pore compressibility coefficient, and belongs to the field of geological engineering and petroleum engineering. The method comprises the steps that the Young modulus of a reservoir rock skeleton, the Poisson's ratio of the reservoir rock skeleton, the initial porosity of reservoir rock, the initial pressure of reservoir fluid and the actual pressure of the reservoir fluid are obtained and then substituted into a pre-constructed mathematical model of the pore compressibility coefficient, and the mathematical model of the pore compressibility coefficient after parameters are substituted is obtained; and on the basis of the mathematical model of the pore compressibility coefficient after the parameters are substituted, solving by utilizing a rooting formula of a quadratic equation with one unknown to obtain the pore compressibility coefficient of the reservoir rock. According to the pore compression coefficient solving method based on the rock mechanics theory, changes of the pore compression coefficient under reservoir condition changes are simply represented from the dynamic perspective, efficiency and economic benefits are improved, accuracy and applicability are enhanced, real-time performance and predictability are achieved, and meanwhile the method has the advantages of being free of destructiveness and standardized.

An illustrative decoder includes: a syndrome calculator, a location finder, and an error corrector. The syndrome calculator has an array of logic gates to obtain syndrome values as a product of a receive message vector and a parity check matrix, the syndrome values including at least a three ten-bit syndrome values S1, S2, and S3. The location finder derives a number of errors from the syndrome values, and uses a second array of logic gates to obtain two polynomial roots as a product of a syndrome value vector and a quadratic solution matrix when the number of errors is two, the quadratic solution matrix corresponding to a determination of a quadratic equation's trailing coefficient value s, a determination of the quadratic equation's roots, and a reversal of a variable substitution. The location finder further determines a bit index for each of the polynomial roots.

The invention relates to the technical field of total heat exchange cores, in particular to a total heat exchange core design method and device based on data driving. A comprehensive structure parameter is constructed based on a plurality of key structure parameters of a total heat exchange core, so that design parameters can be simplified, the problems of complex coupling relation and redundant examples in traditional multi-parameter design are solved, and a foundation is laid for efficiently obtaining a total heat exchange efficiency predicted value; substituting all data in the basic data table into a to-be-solved binary quadratic polynomial response surface model to obtain a numerical result of each unknown parameter in the response surface model, and converting the target total heat exchange efficiency and the rated air volume of the unit into a quadratic equation related to a comprehensive structure parameter through reverse solution; in this way, comprehensive structure parameters meeting performance requirements can be accurately and reversely deduced, finally, the thickness of the single-layer core body which has the double advantages of meeting the performance requirements and controlling the consumable cost is obtained through iterative solution, and a'prediction-reverse deduction 'closed-loop design logic is formed.

The application discloses a high-efficiency large electric pump hydraulic model design method, which comprises the following steps: determining the design hydraulic performance indexes such as lift, efficiency, shaft power and flow rate; adopting two one-dimensional quadratic line equations to constrain the flow channel and the blade main line; selecting a blade leading edge characteristic area, and realizing the parameterization control of the edge modification by a one-dimensional quadratic parabolic equation; constructing a three-dimensional model of the flow part, and completing the numerical simulation of all working conditions by calculating fluid dynamics; comparing the theoretical performance obtained through simulation with the design indexes, adjusting the equation parameters in a directional manner and iterating until the deviation converges, and then completing the model finalization. The method integrates all the key lines into a one-dimensional quadratic equation control system, relies on the characteristic of the monotonous and smooth curvature, avoids the implicit inflection point and ripple defects of high-order splines, reduces the hydraulic loss of boundary layer separation and vortex from the root, and takes the equation coefficients as the core control variables, greatly reduces the optimization dimension, makes the geometric shape adjustable and reproducible, and gets rid of the blindness and randomness of the traditional experience modification.

The application provides a high-precision seismic signal enhancement method and device and electronic equipment. Original seismic data is obtained, a quadratic equation representing the travel time law of the wave front surface of a seismic signal is constructed, the quadratic equation and the original seismic data are solved to obtain the travel time of the wave front surface of the original seismic data, and the original seismic data is filtered based on the travel time of the wave front surface of the seismic signal to obtain an enhanced seismic signal. The application is suitable for seismic signal enhancement of a wave front surface with a certain curvature, improves the prediction accuracy of a seismic signal compared with existing seismic signal enhancement technologies, effectively reduces the loss of effective information in the seismic signal enhancement process, and thus realizes high-precision seismic signal enhancement.

The present invention relates to a comprehensive framework for real-time quality monitoring, control, and optimization in additive manufacturing (AM) processes, notably Laser Powder Bed Fusion (LPBF). The system combines high-speed imaging, sophisticated mathematical modeling, and machine learning techniques to analyze track geometric attributes and melt pool characteristics, including width, height, depth, wetting angles, and hatch spacing. Novel dimensionless wetting shape factors are introduced to characterize track profiles, and equations for acute and obtuse contact angles are derived, with additional exploration of the interplay between powder layer thickness and track dimensions through quadratic equations describing hyperbolic relationships.

The invention discloses a circuit breaker stroke high-precision calculation method based on multi-connecting-rod kinematics analysis. The circuit breaker stroke high-precision calculation method comprises the steps that a non-intrusive mechanical characteristic sensor arranged in a main shaft of a vacuum circuit breaker is used for collecting the initial rotation angle of the main shaft of the circuit breaker in real time; establishing a multi-link motion model of the circuit breaker transmission mechanism; inputting the collected main shaft initial rotation angle of the circuit breaker into the multi-connecting-rod motion model, and calculating a first moving point coordinate; establishing and solving a quadratic equation based on a double-circle intersection point principle, and obtaining coordinates of a second moving point; and calculating the stroke of the contact through vector rotation according to the coordinates of the second moving point and the coordinates of the fixed point. A complex multi-connecting-rod kinematics problem is innovatively converted into a quadratic equation rooting problem, so that the calculation efficiency and precision are greatly improved, and nondestructive acquisition and high-precision analysis of mechanical characteristics of the circuit breaker are realized.

The present invention relates to a short-distance parking speed planning method for an urban rail transit train, a device, and a medium. The method comprises the following steps: step S1, at a reference curve level, designing a plurality of short-distance speed planning scenarios on the basis of delay characteristics and acceleration response gradient characteristics of a train; step S2, constructing a quadratic equation-based speed planning module and a linear equation-based speed planning module on the basis of the similarity between the operation processes of the plurality of short-distance speed planning scenarios; and step S3, providing a speed condition and a distance condition under which a planning solution is present in each scenario, and a selection mechanism when two target speed planning solutions are present. Compared with the prior art, the present invention has the advantages of avoiding overshooting during short-distance parking and improving operation efficiency.

The present application relates to the technical field of molecular computing and information security, in particular to a chaotic oscillation system based on DNA chemical reaction network, which mainly comprises a catalytic reaction module, a degradation reaction module, an annihilation reaction module and a synchronization reaction module; the present application takes DNA reaction network as a research starting point, designs a chaotic oscillation system based on DNA chemical reaction network, and constructs idealized CRN by the catalytic reaction module, the degradation reaction module, the annihilation reaction module and the synchronization reaction module designed by Visual DSD software, solves linear equations, monomial quadratic equations and linear equation groups through the differential equations of idealized CRN, and constructs DSD simulation circuit, so as to realize the construction of logic circuit and information encryption through the constructed DSD simulation circuit.